Stochastic Dynamics of G-Protein-Coupled Cell-Surface Receptors

Abstract

The field of bio-medicine has seen immense increase in single particle tracking techniques and experimental results. We analyze here the data obtained from experiment described by D. Calebiro et al. in Proc. Natl. Acad. Sci. 110: 743–748, 2013 describing the motion of fluorescently labeled G-protein-coupled cell-surface receptors. Our study revealed that some proteins’ trajectories do not have Gaussian increments. We tried to determine distribution of such increments. Also, by using various techniques like: p-variation analysis (Burnecki and Weron in Phys. Rev. E 82:021130, 2010; Magdziarz et al. in Phys. Rev. Lett. 103:180602, 2009), dynamical functional analysis (Burnecki et al. in Biophys. J. 103:1839–1847, 2012; Magdziarz and Weron in Ann. Phys. 326:2431–2443, 2011; Magdziarz and Weron in Phys. Rev. E 84:051138, 2011), MSD analysis (Burnecki and Weron in Phys. Rev. E 82:021130, 2010; Burnecki et al. in Biophys. J. 103:1839–1847, 2012; Burnecki et al. in Phys. Rev. E 86:041912, 2012), we attempt to narrow down possible models of particles in biological system. For more methods used in analysis (and their description), yet not included in this paper, see Burnecki and Weron in J. Stat. Mech., 2014, to appear.